Mean and the variance of the sum
Let X1 and X2 be observations of a random sample size of n=2 from a distribution with p.m.f. F(x)= x/6, x=1,2,3. Then find the p.m.f. of Y= X1+ X2. Determine the mean and the variance of the sum in two ways.
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Assuming this to be a simple random sample of U.S. adults, construct and interpret the 95% and 99% confidence intervals for the proportion of U.S. adults who consider lounging at the beach to be their dream vacation.
A division within a transportation company is responsible for performing maintenance on the fleet of trucks used by the company. Trucks in need of repair arrive to the maintenance division according to a Poisson process having a rate of 0.3 trucks
Suppose we obtained data on vein size after application of a nitroglycerin ointment in a sample of 50 patients. The mean vein size is found to be 7.8mm with an SD of 2.1.
In the past the standard deviation of weights of certain 32.0-oz packages filled by a machine was 0.25 oz. A random sample of 20 packages showed a standard deviation of 0.35 oz. Is the apparent increase in variability significant at the 0.10 level
How is the t-test for correlated groups and the t-test for single samples similar and dissimilar?
Suppose that you are trying to estimate average IQ and its standard deviation. You know that IQs are distributed normally, and so you choose 6 random people and test their IQs. You obtain the values 97, 103, 91, 117, 126, 108. Write the MLE functi
Suppose that the lengths of the slots are normally distributed with a mean of 1002.5 mm and a standard deviation of .4 mm. What proportion of the time wil lfour randomly selected components be able to fit into the slot?
College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normally distributed, what proportion of college students sleep for more than 9.7 hours?
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